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Finding the Third Proportional to 172,697 and 266,429

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Solution

The third proportional to 172,697 and 266,429 is: 411,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,697 : 266,429 = 266,429 : x
  2. Step 2: Convert to fraction form
    172,697/266,429 = 266,429/x
  3. Step 3: Cross multiply
    172,697x = 266,429 × 266,429
  4. Step 4: Simplify right side
    172,697x = 70,984,412,041
  5. Step 5: Solve for x
    x = 70,984,412,041/172,697
  6. Step 6: Final answer
    x = 411,034.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.